Electric Charge and Electric Field Problem

AI Thread Summary
To determine the electric field required for two small spheres with charges of -6*10^-8 C and 6*10^-8 C to achieve equilibrium at an angle of 11 degrees, one must consider the forces acting on the spheres: gravitational force, electrostatic attraction, and the force from the electric field. The gravitational force pulls the spheres downward, while the electric field exerts a force that repels the positive charge and attracts the negative charge. A free-body diagram is essential to visualize these forces and set up the equations needed to solve for the electric field's magnitude. Understanding the balance of these forces is crucial for finding the solution. Properly analyzing the forces will lead to the correct calculation of the electric field needed for equilibrium.
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Homework Statement



Two small spheres, each of mass 8.00 g , are suspended by light strings 15.0 cm in length (see figure). A uniform electric field is applied in the x direction. The spheres have charges equal to -6*10^-8 and 6*10^-8 Determine the electric field that enables the spheres to be in equilibrium at an angle of 11 degree.

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Homework Equations



ke = 8.99*10^9
gravity= 9.8 m/s^2

ke(q1*q2)/r^2 ?

The Attempt at a Solution



I don't know how to approach the problem.
I don't know how gravity is affecting the problem.
Can someone guide me through the problem?
What should I do in order to get the answer?
 

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If you examine the diagram, you'll see that there are 3 forces acting on the system. Two of them, electrostatic attraction between the positive and negative charges and gravity cause the spheres to move closer together, and downwards respectively. The 3rd force, that due to the applied E-field, repels the positive charge and attracts the negative one. Those 3 forces in conjunction create a static equilibrium. Your job is to find the magnitude of the E-field applied.

Note that you must take into account the E-field due to either the positive or negative charge (unless it's small enough to be negligible).
 
Can someone please help with this question :) I am confused as to what to do as well :(

Tina
 
Have you drawn free-body diagrams showing the forces on each sphere? You'll need to show an attempt at solving the problem before we can help you out more.
 
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